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Linear Regression and Correlation: Regression Lab II (edited: Teegarden)

Module by: Mary Teegarden. E-mail the author

Based on: Linear Regression and Correlation: Regression Lab II by Barbara Illowsky, Ph.D., Susan Dean

Summary: This module provides a lab of Linear Regression and Correlation as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. Labs changed to incorporate mini-tabs.

Correlation/Regression Lab

Name:

                                                  

Student Learning Outcomes:

* The student will calculate and construct the line of best fit between two variables.

* The student will evaluate the relationship between two variables to determine if that relationship is significant.

I. Collect the Data

Select 15 textbooks and record the number of pages in the textbook and the cost. Be sure to select books from a variety of disciplines. Be sure to select either all hard cover or all soft cover books as the binding is a factor in the cost. The data may be collected from the college bookstore or a website, however indicate where the data was obtained.

1. Complete the table.

Table 1
Discipline Number of pages Cost of textbook
     
     
     
     
     
     
     
     
     
     
     
     
     
     
     

2. Which variable should be the dependent variable and which should be the independent variable? Why?

dependent variable:

                                                                                

independent variable:

                                                                                

3. Enter your data into your Minitab, and create a scatter plot and attach it to this lab.

Does there appear to be a relationship between the size of the book and the cost? dependent variable:

          
Explain using complete sentences.

II. Analyze the Data

Using Minitab, determine the following information: (Include your session window with this lab.)

1. correlation coefficient =

                    
     
2. p-value =
                    

3. Is there significant correlation?

                    
Why or why not? Answer with 1-3 complete sentences.

4. What does the correlation imply about the relationship between the number of pages and the cost? Answer with 1-3 complete sentences.

5. Using Minitab, calculate the regression line:

                                                  

6. Create a scatter plot with the regression line and include it with this lab.

Does the line seem to fit the data?

                    
Why? Answer with 1-3 complete sentences.

7. Using the data you obtained, supply an answer for the following scenarios:

a. For a textbook with 400 pages, predict the cost:

                    

b. For a textbook with 600 pages, predict the cost:

                    

c. How many pages would you expect a book to have if it cost $58?

                    

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